### Question 12**When a binary search tree is balanced, it provides _________ search, addition, and removal.**1. O(1)2. O(logN)3. O(N)---**Explanation:**The question is assessing knowledge related to the time complexity of search, insertion, and deletion operations in a balanced binary search tree (BST). - **Option O(1):** This implies constant time complexity, meaning the operation time does not increase as the size of the tree increases. This is not true for BST operations.- **Option O(logN):** This implies logarithmic time complexity, which is true for balanced binary search trees. In a balanced BST, the height of the tree is kept to O(logN), ensuring efficient search, addition, and removal operations.- **Option O(N):** This implies linear time complexity, meaning the operation time increases linearly with the size of the tree. This is true for an unbalanced binary search tree but not for a balanced one.Hence, the correct answer is:**O(logN)**

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Question 12 When a binary search tree is balanced, it provides O 0(1) O O(logN) O O(N) search, addition, and removal.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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In a binary search tree, to remove a node N that has left child C1 and right child C2, we do the following: Group of answer choices We make C1 the left child of N’s parent and C2 the right child of N’s parent We make C1 the right child of N’s parent and C2 the left child of N’s parent We find the largest item L in N’s left subtree, copy the contents of L to N, and remove L We find the smallest item S in N’s right subtree, copy the contents of S to N, and remove N We find the largest item L in N's right subtree, copy the contents of L to N, and remove L
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